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Finding the Fourth Proportional to 270,580.06, 406,010.14 and 196,313.19

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Solution

The fourth proportional to 270,580.06, 406,010.14 and 196,313.19 is: 294,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,580.06 : 406,010.14 = 196,313.19 : x
  2. Step 2: Convert to fraction form
    270,580.06/406,010.14 = 196,313.19/x
  3. Step 3: Cross multiply
    270,580.06x = 406,010.14 × 196,313.19
  4. Step 4: Simplify right side
    270,580.06x = 79,705,143,742.43
  5. Step 5: Solve for x
    x = 79,705,143,742.43/270,580.06
  6. Step 6: Final answer
    x = 294,571.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.